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Modules commuting (via Hom) with some colimits

Robert El Bashir, Tomáš Kepka, Petr Němec (2003)

Czechoslovak Mathematical Journal

For every module M we have a natural monomorphism Ψ : i I H o m R ( M , A i ) H o m R M , i I A i and we focus our attention on the case when Ψ is also an epimorphism. Some other colimits are also considered.

Modules commuting (via Hom) with some limits

Robert El Bashir, Tomáš Kepka (1998)

Fundamenta Mathematicae

For every module M we have a natural monomorphism   Φ : i I H o m R ( A i , M ) H o m R ( i I A i , M ) and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.

Currently displaying 1561 – 1580 of 3021